212102100012120 has 192 divisors, whose sum is σ = 675956040364800. Its totient is φ = 53232034437120.

The previous prime is 212102100012083. The next prime is 212102100012223. The reversal of 212102100012120 is 21210001201212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212102100012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1960024815 + ... + 1960133025.

It is an arithmetic number, because the mean of its divisors is an integer number (3520604376900).

Almost surely, 2^{212102100012120} is an apocalyptic number.

212102100012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212102100012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337978020182400).

212102100012120 is an abundant number, since it is smaller than the sum of its proper divisors (463853940352680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212102100012120 is a wasteful number, since it uses less digits than its factorization.

212102100012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164778 (or 164757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212102100012120 its reverse (21210001201212), we get a palindrome (233312101213332).

The spelling of 212102100012120 in words is "two hundred twelve trillion, one hundred two billion, one hundred million, twelve thousand, one hundred twenty".